首页|An effective gauge field theory of the nucleon interactions

An effective gauge field theory of the nucleon interactions

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We discuss the possibility of constructing an effective gauge field theory of the nucleon interactions based on the ideas of isotopic invariance as well as hypercharge invariance as a local gauge symmetry and spontaneous breaking of this symmetry.The constructed effective field theory predicts the structure of interactions of protons and neutrons with ρ-and σ-mesons,and with pi-mesons and photons,as well as interactions of these particles with each other.The Lagrangian of the theory consists of several parts involving dimension 4 and 5 gauge invariant operators.Feynman rules for physical degrees of freedom that follow on from the Lagrangian define the structure of diagrams for one-boson exchanges between nucleons,predicting the internucleon one-boson-exchange potential as well as nucleon scattering amplitudes.The range of applicability of the effective theory is discussed and estimates are made of the resulting coupling constants.The theory predicts the mass of the neutral ρ0-meson to be about 1 MeV larger than the mass of the charged mesons ρ±.The vector w-meson,which is a sterile particle with respect to the considered gauge group SUI(2)×Uy(1),can be added to the scheme via a gauge-invariant operator of dimension 5,as shown in the appendix.

gauge invariancespontaneous symmetry breakingnucleon interactions

Eduard Boos

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Skobeltsyn Institute of Nuclear Physics,Lomonosov Moscow State University,Leninskie Gory,119991,Moscow,Russia

Faculty of Physics,Lomonosov Moscow State University,Leninskie Gory,119991,Moscow,Russia

Russian Science Foundation

22-12-00152

2024

理论物理通讯(英文版)
中国科学院理论物理研究所 中国物理学会

理论物理通讯(英文版)

CSTPCD
影响因子:0.333
ISSN:0253-6102
年,卷(期):2024.76(10)